Edit Profile (opens in new tab) Friedman, Avner Co-Author Distance Author ID: friedman.avner Published as: Friedman, Avner; Friedman, A. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 546 Publications since 1956, including 36 Books 11 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 185 Co-Authors with 336 Joint Publications 4,998 Co-Co-Authors all top 5 Co-Authors 210 single-authored 43 Caffarelli, Luis Ángel 35 Hu, Bei 12 Chen, Xinfu 12 Velázquez, Juan J. L. 11 Reitich, Fernando 10 Alt, Hans Wilhelm 9 Siewe, Nourridine 8 DiBenedetto, Emmanuele 8 Hao, Wenrui 8 McLeod, John Bryce 8 Yakubu, Abdul-Aziz 7 Fontelos López, Marco Antonio 6 Bazaliy, Borys V. 6 Cui, Shangbin 6 Kim, Yangjin 6 Ledzewicz, Urszula 5 Anderson, Robert F. V. 5 Devinatz, Allen 5 Lai, Xiulan 5 Lam, King-Yeung 5 Pinsky, Mark Allan 5 Xue, Chuan 4 Bellout, Hamid 4 Bensoussan, Alain 4 Brézis, Haïm 4 Craciun, Gheorghe 4 Huang, Chaocheng 4 Kao, Chiu-Yen 4 Littman, Walter 4 Shinbrot, Marvin 4 Torelli, Alessandro 4 Turkington, Bruce E. 4 Vogelius, Michael S. 3 Aguda, Baltazar D. 3 Elliott, Charles M. 3 Evans, Lawrence Craig 3 Herrero, Miguel Ángel 3 Huang, Shaoyun 3 Jiang, Lishang 3 Lacey, Andrew A. 3 Liao, Kang-Ling 3 Liu, Yong 3 Ross, David Stuart 2 Bai, Xue-Feng 2 Baiocchi, Claudio 2 Bazaliy, Yaroslaw B. 2 Chen, Duan 2 Dembele, Bassidy 2 Elliott, Robert James 2 Goel, Pranay 2 Green, J. Edward F. 2 Isakov, Victor M. 2 Jain, Harsh Vardhan 2 Kashdan, Eugene 2 Kaur, Balveen 2 Kinderlehrer, David 2 Lesinski, Gregory B. 2 Liu, Wenxiong 2 Lo, Wing-Cheong 2 Lungu, Edward M. 2 Marsh, Clay B. 2 Moise, Nicolae 2 Oswald, Luc 2 Ou, Biao 2 Pozzi, Gianni Arrigo 2 Satoskar, Abhay R. 2 Schättler, Heinz Michael 2 Shih, Chih-Wen 2 Tao, Youshan 2 Tzavaras, Athanasios E. 2 Véron, Laurent 2 Vogel, Thomas Irvin 2 Yong, Jiongmin 2 Zhang, Jianhua 1 Aronson, Donald G. 1 Arsenescu, Razvan I. 1 Atiyah, Michael Francis 1 Banasiak, Jacek 1 Bao, Gang 1 Barbu, Viorel 1 Bassom, Andrew P. 1 Beckenbach, Edwin Ford 1 Bell, Jonathan 1 Bemelmans, Josef 1 Bernis, Francisco 1 Bojarski, Bogdan 1 Borisovich, Andreĭ Yur’evich 1 Borisyuk, Alla 1 Boushaba, Khalid 1 Brokate, Martin 1 Bruno, Oscar P. 1 Budd, Christopher John 1 Caligiuri, Michael A. 1 Chechkin, Gregory Aleksandrovich 1 Chiocca, E. Antonio 1 Chou, Ching-Shan 1 Conley, Elizabeth 1 Conwell, Darwin L. 1 Coskun, Huseyin 1 Crouser, Elliott D. ...and 113 more Co-Authors all top 5 Serials 48 Journal of Differential Equations 46 Transactions of the American Mathematical Society 38 Archive for Rational Mechanics and Analysis 34 Indiana University Mathematics Journal 26 Journal of Mathematical Analysis and Applications 21 Journal of Mathematics and Mechanics 20 SIAM Journal on Mathematical Analysis 15 Journal of Theoretical Biology 14 Bulletin of Mathematical Biology 13 Mathematical Biosciences and Engineering 12 Communications in Partial Differential Equations 11 The IMA Volumes in Mathematics and its Applications 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Pacific Journal of Mathematics 10 SIAM Journal on Control and Optimization 10 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Mathematical Biology 8 Discrete and Continuous Dynamical Systems. Series B 7 SIAM Journal on Applied Mathematics 5 Duke Mathematical Journal 5 Proceedings of the American Mathematical Society 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Proceedings of the National Academy of Sciences of the United States of America 5 Bulletin of the American Mathematical Society 4 Mathematical Biosciences 4 Journal of Functional Analysis 4 Journal für die Reine und Angewandte Mathematik 4 Kiberneticheskiĭ Sbornik. Novaya Seriya 4 European Journal of Applied Mathematics 4 Interfaces and Free Boundaries 3 Journal d’Analyse Mathématique 3 Acta Mathematica 3 Illinois Journal of Mathematics 3 Michigan Mathematical Journal 3 Notices of the American Mathematical Society 3 Lecture Notes in Mathematics 3 Journal of Biological Dynamics 2 Communications on Pure and Applied Mathematics 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Mathematics of Operations Research 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 Asymptotic Analysis 2 SIAM Review 2 Discrete and Continuous Dynamical Systems 2 Multiscale Modeling & Simulation 2 Mathematical Modelling of Natural Phenomena 2 Lecture Notes on Mathematical Modelling in the Life Sciences 2 Oxford Graduate Texts 1 Inverse Problems 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Journal of the Faculty of Science. Section I A 1 Journal of Optimization Theory and Applications 1 Chinese Annals of Mathematics. Series B 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series A (Chinese Edition) 1 Journal of Mathematical Sciences (New York) 1 Finance and Stochastics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 SIAM Journal on Control 1 Regional Conference Series in Mathematics 1 Mathematics in Industry 1 Networks and Heterogeneous Media 1 Science China. Mathematics 1 Philosophical Transactions A. Royal Society of London 1 CBMS Regional Conference Series in Mathematics 1 Springer Undergraduate Texts in Mathematics and Technology all top 5 Fields 314 Partial differential equations (35-XX) 132 Biology and other natural sciences (92-XX) 73 Fluid mechanics (76-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 39 Probability theory and stochastic processes (60-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Mechanics of deformable solids (74-XX) 27 General and overarching topics; collections (00-XX) 25 Systems theory; control (93-XX) 19 Ordinary differential equations (34-XX) 19 Optics, electromagnetic theory (78-XX) 16 Classical thermodynamics, heat transfer (80-XX) 12 Statistics (62-XX) 11 Operations research, mathematical programming (90-XX) 10 Potential theory (31-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 468 Publications have been cited 12,522 times in 9,110 Documents Cited by ▼ Year ▼ Partial differential equations of parabolic type. Zbl 0144.34903 Friedman, Avner 2,194 1964 Partial differential equations. Zbl 0224.35002 Friedman, Avner 564 1969 Variational principles and free-boundary problems. Zbl 0564.49002 Friedman, Avner 445 1982 Stochastic differential equations and applications. Vol. 1. Zbl 0323.60056 Friedman, Avner 386 1975 Blow-up of positive solutions of semilinear heat equations. Zbl 0576.35068 Friedman, Avner; McLeod, Bryce 351 1985 Variational problems with two phases and their free boundary. Zbl 0844.35137 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 224 1984 Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143 Bernis, Francisco; Friedman, Avner 207 1990 Differential games. Zbl 0229.90060 Friedman, Avner 200 1971 Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061 DiBenedetto, Emmanuele; Friedman, Avner 195 1985 Stochastic differential equations and applications. Vol. 2. Zbl 0323.60057 Friedman, Avner 188 1976 Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018 Friedman, Avner; Reitich, Fernando 157 1999 Nonlinear parabolic equations involving measures as initial conditions. Zbl 0527.35043 Brézis, Haïm; Friedman, Avner 148 1983 Classes of solutions of linear systems of partial differential equations of parabolic type. Zbl 0092.31002 Friedman, Avner 140 1957 Convexity of solutions of semilinear elliptic equations. Zbl 0599.35065 Caffarelli, Luis A.; Friedman, Avner 109 1985 The Stefan problem in several space variables. Zbl 0162.41903 Friedman, A. 106 1968 A free boundary problem arising in a model of wound healing. Zbl 0972.35193 Chen, Xinfu; Friedman, Avner 102 2000 Variational principles and free-boundary problems. Reprint. Zbl 0671.49001 Friedman, Avner 101 1988 Generalized functions and partial differential equations. Zbl 0116.07002 Friedman, A. 92 1963 Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038 DiBenedetto, Emmanuele; Friedman, Avner 88 1984 Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions. Zbl 0631.35041 Friedman, Avner 85 1986 Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Zbl 0983.35019 Friedman, Avner; Reitich, Fernando 82 2001 Regularity of the free boundary of a gas flow in an \(n\)-dimensional porous medium. Zbl 0439.76085 Caffarelli, Luis A.; Friedman, Avner 82 1980 Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030 Fontelos, Marco A.; Friedman, Avner; Hu, Bei 76 2002 Parabolic variational inequalities in one space dimension and smoothness of the free boundary. Zbl 0295.35045 Friedman, Avner 74 1975 Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087 Friedman, Avner; Vogelius, Michael 73 1989 Foundations of modern analysis. Zbl 0198.07601 Friedman, Avner 71 1970 Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022 Cui, Shangbin; Friedman, Avner 70 2000 Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039 Friedman, Avner; Hu, Bei 68 2006 The asymptotic behavior of gas in an \(n\)-dimensional porous medium. Zbl 0447.76076 Friedman, Avner; Kamin, Shoshana 67 1980 A free boundary problem for quasi-linear elliptic equations. Zbl 0554.35129 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 65 1984 Blow-up of solutions of nonlinear degenerate parabolic equations. Zbl 0619.35060 Friedman, Avner; McLeod, Bryce 65 1986 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013 Friedman, Avner 64 2007 The obstacle problem for the biharmonic operator. Zbl 0405.31007 Caffarelli, Luis A.; Friedman, Avner 62 1979 Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046 Evans, Lawrence C.; Friedman, Avner 62 1979 A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144 Chen, Xinfu; Friedman, Avner 60 2003 A one phase Stefan problem. Zbl 0334.49002 Friedman, Avner; Kinderlehrer, David 59 1975 The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049 Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L. 59 1999 Remarks on the maximum principle for parabolic equations and its applications. Zbl 0103.06403 Friedman, Avner 57 1958 Volterra integral equations in Banach space. Zbl 0147.12302 Friedman, A.; Shinbrot, M. 57 1967 Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. Zbl 0593.35047 Caffarelli, Luis A.; Friedman, Avner 57 1985 Determining cracks by boundary measurements. Zbl 0697.35165 Friedman, Avner; Vogelius, Michael 57 1989 Free boundary problems for parabolic equations. I: Melting of solids. Zbl 0089.07801 Friedman, Avner 55 1959 Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003 Friedman, Avner 54 2006 Stability of solutions of chemotaxis equations in reinforced random walks. Zbl 1025.35005 Friedman, Avner; Tello, J. Ignacio 54 2002 A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094 Friedman, Avner 53 2004 Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145 Fontelos, Marco A.; Friedman, Avner 53 2003 On the regularity of the solutions of nonlinear elliptic and parabolic systems of partial differential equations. Zbl 0078.27702 Friedman, Avner 53 1958 Partial differential equations of parabolic type. Zbl 0173.12701 Friedman, A. 52 1968 Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106 Friedman, Avner; Hu, Bei 52 2006 Continuity of the density of a gas flow in a porous medium. Zbl 0425.35060 Caffarelli, Luis A.; Friedman, Avner 52 1979 Analysis of a mathematical model of the growth of necrotic tumors. Zbl 0984.35169 Cui, Shangbin; Friedman, Avner 51 2001 Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059 Friedman, Avner; Hu, Bei 51 2008 Foundations of modern analysis. Reprint of the 1970 orig. Zbl 0557.46001 Friedman, Avner 50 1982 The blow-up boundary for nonlinear wave equations. Zbl 0638.35053 Caffarelli, Luis A.; Friedman, Avner 47 1986 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107 Friedman, Avner; Hu, Bei 47 2007 Axially symmetric jet flows. Zbl 0515.76017 Alt, H. W.; Caffarelli, L. A.; Friedman, A. 47 1983 The free boundary of a semilinear elliptic equation. Zbl 0552.35079 Friedman, Avner; Phillips, Daniel 47 1984 Stochastic differential games. Zbl 0208.39402 Friedman, Avner 47 1972 A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042 Friedman, Avner; Giga, Yoshikazu 45 1987 Optimal control for variational inequalities. Zbl 0604.49007 Friedman, Avner 45 1986 The shape of axisymmetric rotating fluid. Zbl 0439.35068 Caffarelli, Luis A.; Friedman, Avner 45 1980 Asymptotic estimates for the plasma problem. Zbl 0466.35033 Caffarelli, Luis A.; Friedman, Avner 44 1980 On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165 Friedman, Avner; Isakov, Victor 43 1989 The time-harmonic Maxwell equations in a doubly periodic structure. Zbl 0759.35046 Dobson, David; Friedman, Avner 43 1992 Reinforcement problems for elliptic equations and variational inequalities. Zbl 0434.35079 Brézis, Haïm; Caffarelli, Luis A.; Friedman, Avner 42 1980 A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151 Bazaliy, Borys V.; Friedman, Avner 42 2003 A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154 Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner 42 2014 Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036 Friedman, Avner; Lolas, Georgios 41 2005 Asymmetric jet flows. Zbl 0515.76018 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 40 1982 Jets with two fluids. I. One free boundary. Zbl 0551.76013 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 40 1984 Nonlinear stability of a quasi-static Stefan problem with surface tension: a continuation approach. Zbl 1072.35208 Reitich, Fernando; Friedman, Avner 40 2001 Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120 Bensoussan, Alain; Friedman, Avner 40 1974 Regularity of the free boundary for the one-dimensional flow of gas in a porous medium. Zbl 0439.76084 Caffarelli, Luis A.; Friedman, Avner 40 1979 Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172 Friedman, Avner; Lam, King-Yeung 40 2015 Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050 Friedman, Avner; Herrero, Miguel A. 39 1987 Vortex rings: existence and asymptotic estimates. Zbl 0497.76031 Friedman, Avner; Turkington, Bruce 39 1981 The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102 DiBenedetto, Emmanuele; Friedman, Avner 39 1984 Jet flows with gravity. Zbl 0561.76022 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 38 1982 Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065 DiBenedetto, Emmanuelle; Friedman, Avner 38 1985 Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029 Bensoussan, Alain; Friedman, Avner 36 1977 On integral equations of Volterra type. Zbl 0134.31502 Friedman, A. 35 1963 Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: an application to a model of tumor growth. Zbl 1089.35079 Bazaliy, Borys; Friedman, Avner 34 2003 Differentiability of the blow-up curve for one dimensional nonlinear wave equations. Zbl 0593.35055 Caffarelli, Luis A.; Friedman, Avner 34 1985 Interior estimates for parabolic systems of partial differential equations. Zbl 0082.30402 Friedman, Avner 33 1958 Systems of nonlinear wave equations with nonlinear viscosity. Zbl 0685.35070 Friedman, Avner; Nečas, Jindřich 32 1988 Compressible flows of jets and cavities. Zbl 0614.76074 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 32 1985 Asymptotic behavior of solutions of \(u_ t=\Delta u^ m\) as \(m\to \infty\). Zbl 0651.35039 Caffarelli, Luis A.; Friedman, Avner 31 1987 Jets with two fluids. II: Two free boundaries. Zbl 0588.76017 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 31 1984 Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013 Friedman, Avner; Hu, Bei 30 2007 Maxwell’s equations in a periodic structure. Zbl 0727.35131 Chen, Xinfu; Friedman, Avner 30 1991 A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198 Friedman, Avner; Hao, Wenrui 30 2015 Blow-up of solutions of nonlinear heat equations. Zbl 0653.35038 Caffarelli, Luis A.; Friedman, Avner 29 1988 A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018 Cui, Shangbin; Friedman, Avner 29 2003 Continuity of the temperature in the Stefan problem. Zbl 0406.35032 Caffarelli, Luis A.; Friedman, Avner 28 1979 Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084 DiBenedetto, Emmanuele; Friedman, Avner 28 1986 Optimal control for parabolic variational inequalities. Zbl 0624.49005 Friedman, Avner 27 1987 The asymptotic behavior of the first real eigenvalue of second order elliptic operators with a smallparameter in the highest derivatives. II. Zbl 0263.35026 Devinatz, Allen; Ellis, Richard; Friedman, Avner 26 1974 Stochastic games and variational inequalities. Zbl 0285.90089 Friedman, Avner 26 1973 Isometric embedding of riemannian manifolds into Euclidean spaces. Zbl 0137.14901 Friedman, A. 25 1965 The free boundary for elastic-plastic torsion problems. Zbl 0426.35033 Caffarelli, Luis A.; Friedman, Avner 25 1979 Mathematical modeling of cancer treatment with radiation and PD-L1 inhibitor. Zbl 1431.35253 Lai, Xiulan; Friedman, Avner 7 2020 Overcoming drug resistance to BRAF inhibitor. Zbl 1432.92046 Friedman, Avner; Siewe, Nourridine 2 2020 Mathematical model of chronic dermal wounds in diabetes and obesity. Zbl 1453.92073 Friedman, Avner; Siewe, Nourridine 1 2020 Increase hemoglobin level in severe malarial anemia while controlling parasitemia: a mathematical model. Zbl 1448.92104 Siewe, Nourridine; Friedman, Avner 1 2020 Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs. Zbl 1406.92312 Lai, Xiulan; Friedman, Avner 6 2019 Antagonism and negative side-effects in combination therapy for cancer. Zbl 1418.35386 Friedman, Avner; Lai, Xiulan 3 2019 Free boundary problems associated with cancer treatment by combination therapy. Zbl 1425.35240 Friedman, Avner; Lai, Xiulan 2 2019 Rheumatoid arthritis – a mathematical model. Zbl 1406.92273 Moise, Nicolae; Friedman, Avner 2 2019 Mathematical biology: modeling and analysis. Zbl 1404.92002 Friedman, Avner 13 2018 The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056 Friedman, Avner; Hao, Wenrui 9 2018 Complex role of NK cells in regulation of oncolytic virus-bortezomib therapy. Zbl 1416.92051 Kim, Yangjin; Yoo, Ji Young; Lee, Tae Jin; Liu, Joseph; Yu, Jianhua; Caligiuri, Michael A.; Kaur, Balveen; Friedman, Avner 3 2018 Free boundary problems arising in biology. Zbl 1374.35409 Friedman, Avner 1 2018 Mathematical model of chronic pancreatitis. Zbl 1404.92096 Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner 8 2017 Granuloma formation in leishmaniasis: a mathematical model. Zbl 1368.92087 Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner 7 2017 Mathematical modeling of liver fibrosis. Zbl 1348.92079 Friedman, Avner; Hao, Wenrui 4 2017 The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034 Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner 4 2017 Introduction to mathematical biology. Modeling, analysis, and simulations. Zbl 1351.92001 Chou, Ching-Shan; Friedman, Avner 8 2016 Immune response to infection by Leishmania: a mathematical model. Zbl 1341.92042 Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner 8 2016 Free boundary problems for systems of Stokes equations. Zbl 1357.35298 Friedman, Avner 7 2016 Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172 Friedman, Avner; Lam, King-Yeung 40 2015 A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198 Friedman, Avner; Hao, Wenrui 30 2015 A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181 Friedman, Avner; Hao, Wenrui; Hu, Bei 17 2015 Free boundary problems in biology. Zbl 1353.35291 Friedman, Avner 14 2015 Effects of CCN1 and macrophage content on glioma virotherapy: a mathematical model. Zbl 1335.92040 Jacobsen, Karly; Russell, Luke; Kaur, Balveen; Friedman, Avner 5 2015 A PDE model for the dynamics of trail formation by ants. Zbl 1311.35325 Fontelos, Marco A.; Friedman, Avner 3 2015 The role of the cytokines IL-27 and IL-35 in cancer. Zbl 1326.92034 Friedman, Avner; Liao, Kang-Ling 1 2015 A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154 Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner 42 2014 Mathematical model of sarcoidosis. Zbl 1355.92049 Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner 22 2014 On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388 Friedman, Avner; Hu, Bei; Xue, Chuan 10 2014 Mathematical modeling of biological processes. Zbl 1302.92004 Friedman, Avner; Kao, Chiu-Yen 5 2014 A Bovine babesiosis model with dispersion. Zbl 1282.92019 Friedman, Avner; Yakubu, Abdul-Aziz 3 2014 On the stability of steady states in a granuloma model. Zbl 1288.35482 Friedman, Avner; Lam, King-Yeung 3 2014 Modulation of the camp response by \(\mathrm{G}\alpha _i\) and \(\mathrm{G}\beta \gamma \): a computational study of G protein signaling in immune cells. Zbl 1298.92038 Leander, R.; Friedman, A. 1 2014 Mathematical model of renal interstitial fibrosis. Zbl 1355.92050 Hao, Wenrui; Rovin, Brad H.; Friedman, Avner 1 2014 Anthrax epizootic and migration: persistence or extinction. Zbl 1303.92116 Friedman, Avner; Yakubu, Abdul-Aziz 17 2013 Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy. Zbl 1277.92013 Jain, Harsh Vardhan; Friedman, Avner 16 2013 A two-phase free boundary problem with discontinuous velocity: Application to tumor model. Zbl 1256.35208 Chen, Duan; Friedman, Avner 6 2013 The role of CD200-CD200R in tumor immune evasion. Zbl 1330.92024 Liao, Kang-Ling; Bai, Xue-Feng; Friedman, Avner 5 2013 Mathematical methods and models in biomedicine. Zbl 1254.92046 4 2013 Epidemiological models with seasonality. Zbl 1345.92140 Friedman, Avner 3 2013 Mathematical model of the roles of T cells in inflammatory bowel disease. Zbl 1272.92030 Lo, Wing-Cheong; Arsenescu, Razvan I.; Friedman, Avner 3 2013 A mathematical model for cell-induced gel compaction in vitro. Zbl 1257.92018 Green, J. E. F.; Bassom, Andrew P.; Friedman, Avner 2 2013 Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha? Zbl 1269.92044 Friedman, Avner; Lungu, Edward M. 1 2013 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014 Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 PDE problems arising in mathematical biology. Zbl 1260.49001 Friedman, Avner 17 2012 Host demographic Allee effect, fatal disease, and migration: persistence or extinction. Zbl 1273.34052 Friedman, Avner; Yakubu, Abdul-Aziz 13 2012 Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model. Zbl 1267.92043 Chen, Duan; Roda, Julie M.; Marsh, Clay B.; Eubank, Timothy D.; Friedman, Avner 11 2012 Modeling the inhibition of breast cancer growth by GM-CSF. Zbl 1337.92118 Szomolay, Barbara; Eubank, Tim D.; Roberts, Ryan D.; Marsh, Clay B.; Friedman, Avner 9 2012 Fatal disease and demographic Allee effect: population persistence and extinction. Zbl 1447.92337 Friedman, Avner; Yakubu, Abdul-Aziz 9 2012 A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076 Friedman, Avner; Hu, Bei; Xue, Chuan 8 2012 Cancer as multifaceted disease. Zbl 1241.92038 Friedman, A. 6 2012 Conservation laws in mathematical biology. Zbl 1258.35142 Friedman, Avner 5 2012 Asymptotic limit in a cell differentiation model with consideration of transcription. Zbl 1267.34078 Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen 2 2012 Asymptotic analysis for the narrow escape problem. Zbl 1252.35030 Chen, Xinfu; Friedman, Avner 10 2011 A mathematical model for chronic wounds. Zbl 1259.92043 Friedman, Avner; Xue, Chuan 7 2011 Tumor cells proliferation and migration under the influence of their microenvironment. Zbl 1259.92042 Friedman, Avner; Kim, Yangjin 6 2011 Modeling the host response to inhalation anthrax. Zbl 1405.92143 Day, Judy; Friedman, Avner; Schlesinger, Larry S. 4 2011 Interaction of tumor with its micro-environment: a mathematical model. Zbl 1197.92027 Kim, Yangjin; Friedman, Avner 17 2010 Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195 Friedman, Avner; Hu, Bei; Xue, Chuan 13 2010 Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine. Zbl 1191.92025 Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz 8 2010 Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments. Zbl 1204.92041 Kim, Yangjin; Wallace, Julie; Li, Fu; Ostrowski, Michael; Friedman, Avner 6 2010 Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024 Friedman, Avner; Hu, Bei; Kao, Chiu-Yen 5 2010 Mathematical modeling of preadipocyte fate determination. Zbl 1406.92145 Coskun, Huseyin; Summerfield, Taryn L. S.; Kniss, Douglas A.; Friedman, Avner 2 2010 What is mathematical biology and how useful is it? Zbl 1254.92004 Friedman, Avner 2 2010 A model of drug resistance with infection by health care workers. Zbl 1259.92074 Friedman, Avner; Ziyadi, Najat; Boushaba, Khalid 1 2010 A mathematical model for pattern formation of glioma cells outside the tumor spheroid core. Zbl 1405.92032 Kim, Yangjin; Lawler, Sean; Nowicki, Michal O.; Chiocca, E. Antonio; Friedman, Avner 22 2009 Free boundary problems associated with multiscale tumor models. Zbl 1172.35080 Friedman, A. 14 2009 Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232 Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz 12 2009 Asymptotic phases in a cell differentiation model. Zbl 1173.35590 Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen 5 2009 Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059 Friedman, Avner; Hu, Bei 51 2008 Tutorials in mathematical biosciences IV. Evolution and ecology. Tutorials presented at the Mathematical Bioscience Institute (MBI) in the years 2005–2006. Zbl 1130.92002 10 2008 A multiscale tumor model. Zbl 1157.35501 Friedman, Avner 10 2008 Models of cellular regulation. Zbl 1231.92030 Aguda, Baltazar D.; Friedman, Avner 7 2008 The extensional flow of a thin sheet of incompressible, transversely isotropic fluid. Zbl 1141.76009 Green, J. Edward F.; Friedman, Avner 6 2008 The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524 Friedman, Avner; Hu, Bei 5 2008 A parabolic-hyperbolic quasilinear system. Zbl 1158.35004 Chen, Xinfu; Friedman, Avner; Hu, Bei 3 2008 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013 Friedman, Avner 64 2007 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107 Friedman, Avner; Hu, Bei 47 2007 Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013 Friedman, Avner; Hu, Bei 30 2007 Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006 Friedman, Avner; Hu, Bei 8 2007 Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006 Friedman, Avner; Hu, Bei 3 2007 One-dimensional free boundary problem for actin-based propulsion of Listeria. Zbl 1104.92016 Bazaliy, Borys; Bazaliy, Yaroslaw; Friedman, Avner 2 2007 Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039 Friedman, Avner; Hu, Bei 68 2006 Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003 Friedman, Avner 54 2006 Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106 Friedman, Avner; Hu, Bei 52 2006 A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145 Friedman, Avner 23 2006 Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330 Friedman, Avner; Craciun, Gheorghe 12 2006 Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer. Zbl 1122.92030 12 2006 Homogenization of the cell cytoplasm: the calcium bidomain equations. Zbl 1128.35303 Goel, Pranay; Sneyd, James; Friedman, Avner 9 2006 Differential games. Reprint of the 1971 original ed. Zbl 1225.91011 Friedman, Avner 3 2006 Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036 Friedman, Avner; Lolas, Georgios 41 2005 Symmetry-breaking bifurcations for free boundary problems. Zbl 1079.35012 Borisovich, Andrei; Friedman, Avner 24 2005 A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166 Chen, Xinfu; Cui, Shangbin; Friedman, Avner 21 2005 A model of intracellular transport of particles in an axon. Zbl 1068.92016 Friedman, Avner; Craciun, Gheorghe 17 2005 The Hele-Shaw problem with surface tension in a half-plane: a model problem. Zbl 1075.76022 Bazaliy, Borys V.; Friedman, Avner 16 2005 Generalized functions and partial differential equations. Reprint of the 1963 original. Zbl 1121.46001 Friedman, Avner 12 2005 The Hele-Shaw problem with surface tension in a half-plane. Zbl 1076.76028 Bazaliy, Borys V.; Friedman, Avner 11 2005 Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008 Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David 6 2005 A dynamical system model of neurofilament transport in axons. Zbl 1445.92053 Craciun, Gheorghe; Brown, Anthony; Friedman, Avner 6 2005 Symmetry-breaking bifurcations for free boundary problems. Zbl 1075.35117 Friedman, Avner 2 2005 ...and 368 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,643 Authors 209 Friedman, Avner 54 Hu, Bei 53 Mu, Chunlai 53 Vazquez, Juan Luis 51 Winkler, Michael 43 Shahgholian, Henrik 39 Caffarelli, Luis Ángel 37 Xu, Shihe 36 Wang, Mingxin 36 Zheng, Sining 35 Galaktionov, Victor Aleksandrovich 33 Yi, Fahuai 32 Cui, Shangbin 30 Liu, Bingchen 30 Tao, Youshan 29 Pao, Chia-Ven 28 Chen, Xinfu 27 Li, Fengjie 27 Lin, Zhigui 26 Cannon, John Rozier 26 Du, Lili 25 Fasano, Antonio 24 Primicerio, Mario 23 Souplet, Philippe 23 Velázquez, Juan J. L. 22 Cao, Daomin 22 Peletier, Lambertus Adrianus 22 Shen, Wenxian 21 Ammari, Habib 21 Díaz Díaz, Jesús Ildefonso 21 Du, Yihong 21 Guo, Jong-Shenq 20 Xie, Chunhong 19 Bögelein, Verena 19 Ding, Juntang 19 Hao, Wenrui 19 Herrero, Miguel Ángel 19 Ishige, Kazuhiro 19 Perthame, Benoît 19 Rossi, Julio Daniel 19 Weiss, Georg Sebastian 19 Zaag, Hatem 18 Aronson, Donald G. 18 Cheng, Jianfeng 18 De Angelis, Tiziano 18 Karatzas, Ioannis 18 Mao, Xuerong 18 Véron, Laurent 17 Bao, Gang 17 Lee, Ki-Ahm 17 Lenhart, Suzanne M. 17 Macías-Díaz, Jorge Eduardo 17 Taranets, Roman M. 17 Valdinoci, Enrico 17 Yin, Hongming 17 Yong, Jiongmin 16 Beretta, Elena 16 Bertsch, Michiel 16 Gao, Wenjie 16 Lions, Pierre-Louis 16 Tarzia, Domingo Alberto 16 Tesei, Alberto 16 Yin, Jingxue 16 Zheng, Pan 15 Chechkin, Gregory Aleksandrovich 15 DiBenedetto, Emmanuele 15 Escher, Joachim 15 Ferrari, Fausto 15 Hu, Guanghui 15 Kamin, Shoshana 15 Lesnic, Daniel 15 Mingione, Giuseppe 15 Pascucci, Andrea 15 Rodríguez-Bernal, Aníbal 15 Salsa, Sandro 15 Wu, Junde 14 Ambrazevičius, Algirdas 14 Brenner, Susanne Cecelia 14 Kang, Hyeonbae 14 Karakhanyan, Aram L. 14 Ledzewicz, Urszula 14 Menozzi, Stéphane 14 Pukal’s’kyĭ, Ivan D. 14 Vasylyeva, Nataliya V. 13 Cai, Jingjing 13 De Silva, Daniela 13 Fila, Marek 13 Li, Peijun 13 Merle, Frank 13 Qi, Yuanwei 13 Quirós Gracián, Fernando 13 Sung, Li-Yeng 13 Suzuki, Takashi 13 Wang, Liangchen 13 Wang, Zhi Cheng 13 Yang, Zhou 12 Alessandrini, Giovanni 12 Bai, Meng 12 Bandle, Catherine 12 Bellomo, Nicola ...and 8,543 more Authors all top 5 Cited in 703 Serials 520 Journal of Differential Equations 492 Journal of Mathematical Analysis and Applications 235 Nonlinear Analysis. 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